Analyzing Transient Response of the Parallel Rcl Circuit by Using the Caputo-Fabrizio Fractional Derivative
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Abstract
In this paper, the transient response of the parallel RCL circuit with Caputo-Fabrizio derivative is solved by Laplace transforms. Also, the graphs of the obtained solutions for the different orders of the fractional derivatives are compared with each other and with the usual solutions. Finally, they are compared with practical and laboratory results.
Description
Rezapour, Shahram/0000-0003-3463-2607
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Keywords
Caputo-Fabrizio Derivative, Fractional Differential, Transient Response, Caputo–Fabrizio Derivative, Financial economics, Laplace transform, Economics, Mathematical analysis, Caputo–Fabrizio derivative, Transient response, Engineering, Differential equation, QA1-939, FOS: Mathematics, Anomalous Diffusion Modeling and Analysis, Analysis and Design of Fractional Order Control Systems, Transient (computer programming), Physics-Informed Neural Networks for Scientific Computing, Fractional calculus, Statistical and Nonlinear Physics, Partial differential equation, Applied mathematics, Computer science, Fractional differential, Operating system, Physics and Astronomy, Control and Systems Engineering, Modeling and Simulation, Derivative (finance), Electrical engineering, Physical Sciences, Fractional Calculus, Mathematics, Ordinary differential equation, Caputo-Fabrizio derivative, Fractional ordinary differential equations, fractional differential, Fractional derivatives and integrals, Analytic circuit theory, transient response
Fields of Science
02 engineering and technology, 01 natural sciences, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics
Citation
Alizadeh, S.; Baleanu, D.; Rezapour, S.,"Analyzing Transient Response of the Parallel Rcl Circuit By Using the Caputo–Fabrizio Fractional Derivative",Advances in Difference Equations, Vol. 2020, No. 1, (2020).
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119
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2020
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1
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